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On the coupling impedance for particles with opposite velocities
As already shown by several authors, the reciprocity theorem can be rewritten as a simple formula connecting the longitudinal coupling impedances of a particle travelling in the positive and negative directions of an infinitely long vacuum chamber crossing a scattering structure (cavity, step juncti...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
2003
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1140/epjc/s2002-01126-x http://cds.cern.ch/record/781492 |
_version_ | 1780904354399649792 |
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author | Davino, D Dôme, Georges Verolino, L |
author_facet | Davino, D Dôme, Georges Verolino, L |
author_sort | Davino, D |
collection | CERN |
description | As already shown by several authors, the reciprocity theorem can be rewritten as a simple formula connecting the longitudinal coupling impedances of a particle travelling in the positive and negative directions of an infinitely long vacuum chamber crossing a scattering structure (cavity, step junction, iris, etc.) of general shape. The formula is valid for any particle velocity. As an example, we consider the case of two semi-infinite circular vacuum chambers with different radii; for this case we give the explicit difference between the coupling impedances and the wake potentials. (orig.) |
id | cern-781492 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2003 |
record_format | invenio |
spelling | cern-7814922019-09-30T06:29:59Zdoi:10.1140/epjc/s2002-01126-xhttp://cds.cern.ch/record/781492engDavino, DDôme, GeorgesVerolino, LOn the coupling impedance for particles with opposite velocitiesAccelerators and Storage RingsAs already shown by several authors, the reciprocity theorem can be rewritten as a simple formula connecting the longitudinal coupling impedances of a particle travelling in the positive and negative directions of an infinitely long vacuum chamber crossing a scattering structure (cavity, step junction, iris, etc.) of general shape. The formula is valid for any particle velocity. As an example, we consider the case of two semi-infinite circular vacuum chambers with different radii; for this case we give the explicit difference between the coupling impedances and the wake potentials. (orig.)oai:cds.cern.ch:7814922003 |
spellingShingle | Accelerators and Storage Rings Davino, D Dôme, Georges Verolino, L On the coupling impedance for particles with opposite velocities |
title | On the coupling impedance for particles with opposite velocities |
title_full | On the coupling impedance for particles with opposite velocities |
title_fullStr | On the coupling impedance for particles with opposite velocities |
title_full_unstemmed | On the coupling impedance for particles with opposite velocities |
title_short | On the coupling impedance for particles with opposite velocities |
title_sort | on the coupling impedance for particles with opposite velocities |
topic | Accelerators and Storage Rings |
url | https://dx.doi.org/10.1140/epjc/s2002-01126-x http://cds.cern.ch/record/781492 |
work_keys_str_mv | AT davinod onthecouplingimpedanceforparticleswithoppositevelocities AT domegeorges onthecouplingimpedanceforparticleswithoppositevelocities AT verolinol onthecouplingimpedanceforparticleswithoppositevelocities |